On the translative packing densities of tetrahedra and cubooctahedra

2012/08/02 by Chuanming Zong, Zong, Chuanming
Materials Science · Mathematics · Physics and Astronomy · #52C17 #Advanced Mathematical Theories and Applications #FOS: Mathematics #Mathematics and Applications #Metric Geometry (math.MG) #Number Theory (math.NT) #Quasicrystal Structures and Properties #math.MG #math.NT #msc:52C17

paper · pdf · doi:10.48550/arxiv.1208.0420

37 pages, 9 figures

openalex publication_date 2012/08/02 · arxiv created 2012/11/12 · arxiv updated 2012/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, upper bounds for the densities of the densest translative tetrahedron packings and the densest translative cubooctahedron packings are obtained.

Citations

• A proof of the Kepler conjecture

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